Answer:
2%
Step-by-step explanation:
Probability of rain, P(R) = 0.2
Probability of leak Given that it rains, P(L|R) = 0.1
Probability of leak Given that it does not rain, P(L|R') = 0
According to Baye's Rule:
P(L) = [P(L|R) * P(R)] + [P(L|R') * P(R')]
P(R') = 1 - P(R) = 1 - 0.2 = 0.8
P(L) = [0.1 * 0.2] + [0 * 0.8]
P(L) = 0.02 + 0
P(L) = 0.02
Hence, probability of a roof leak on Thursday is 0.02 = (0.02 * 100%) = 2%
